QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#759491 | #9553. The Hermit | mango09 | AC ✓ | 1808ms | 83660kb | C++14 | 2.3kb | 2024-11-18 09:14:26 | 2024-11-18 19:52:30 |
Judging History
answer
// Ice cream? I scream!
#include <bits/stdc++.h>
#ifdef ONLINE_JUDGE
#define freopen Chitanda
#endif
#define wjy namespace
#define xsy std
typedef long long ll;
typedef unsigned long long ull;
using wjy xsy;
template<typename T> void debug(string s, T x) {cerr << " " << s << " = " << x << " \n";}
template<typename T, typename... Args> void debug(string s, T x, Args... args) {for (int i = 0, b = 0; i < (int)s.size(); i++) if (s[i] == '(' || s[i] == '{') b++;else if (s[i] == ')' || s[i] == '}') b--;else if (s[i] == ',' && b == 0) {cerr << " " << s.substr(0, i) << " = " << x << " |";debug(s.substr(s.find_first_not_of(' ', i + 1)), args...);break;}}
#ifdef ONLINE_JUDGE
#define Debug(...)
#else
#define Debug(...) debug(#__VA_ARGS__, __VA_ARGS__)
#endif
const int MAXN = 1e5 + 5;
const int MOD = 998244353;
int Qpow(int a, int b) {int base = a, ans = 1; while (b) {if (b & 1) ans = 1ll * ans * base % MOD; base = 1ll * base * base % MOD; b >>= 1;} return ans;}
int Inv(int a) {return Qpow(a, MOD - 2);}
int fac[MAXN], ifac[MAXN];
void Init(int n)
{
fac[0] = 1;
for (int i = 1; i <= n; i++)
fac[i] = 1ll * fac[i - 1] * i % MOD;
ifac[n] = Inv(fac[n]);
for (int i = n - 1; ~i; i--)
ifac[i] = 1ll * ifac[i + 1] * (i + 1) % MOD;
}
int C(int n, int m)
{
if (n < m)
return 0;
return 1ll * fac[n] * ifac[n - m] % MOD * ifac[m] % MOD;
}
int m, n, cnt;
int d[MAXN];
unordered_map<ull, int> f;
ull Hash(int x, int y)
{
return ((ull)x << 32) | (ull)y;
}
int main()
{
scanf("%d%d", &m, &n);
// if (n == 1)
// return puts("0"), 0;
// if (n == 15)
// return puts("190067060"), 0;
Init(m);
int ans = 1ll * n * C(m, n) % MOD, tot = 0;
// Debug(C(m, n), ans);
for (int i = 1; i <= m; i++)
{
f[Hash(i, 1)] = 1;
for (int k = 2; i * k <= m; k++)
for (int j = 1; j <= min(n, (int)floor(log2(i)) + 1); j++)
f[Hash(i * k, j + 1)] = (f[Hash(i * k, j + 1)] + f[Hash(i, j)]) % MOD;
}
for (int i = 1; i <= m; i++)
{
for (int j = 1; j <= min(n, (int)floor(log2(i)) + 1); j++)
{
// Debug(i, j, f[{i, j}]);
tot = (tot + 1ll * f[Hash(i, j)] * C((m / i) - 1, n - j) % MOD) % MOD;
}
}
// Debug(tot);
// tot = (tot + 1ll * (n - 1) * cnt % MOD) % MOD;
printf("%d\n", (ans - tot + MOD) % MOD);
return 0;
}
这程序好像有点Bug,我给组数据试试?
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 4016kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3788kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 1620ms
memory: 83420kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 37ms
memory: 9496kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 1551ms
memory: 83456kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 76ms
memory: 13608kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 1586ms
memory: 83616kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 1ms
memory: 4024kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3700kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 1ms
memory: 3892kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 1ms
memory: 3888kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3948kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 1ms
memory: 4056kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 2ms
memory: 4324kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 3ms
memory: 4312kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 2ms
memory: 4408kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 2ms
memory: 4260kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 1770ms
memory: 83456kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 232ms
memory: 24468kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 43ms
memory: 9484kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 0ms
memory: 4032kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 1753ms
memory: 83392kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 1677ms
memory: 83376kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 1769ms
memory: 83484kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 30ms
memory: 8112kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 216ms
memory: 15780kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 449ms
memory: 23200kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 1735ms
memory: 83552kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 1756ms
memory: 83640kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 44ms
memory: 9968kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 1808ms
memory: 83552kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 1753ms
memory: 83408kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 1780ms
memory: 83428kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 1733ms
memory: 83660kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 1745ms
memory: 83564kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 1662ms
memory: 83580kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 1690ms
memory: 83444kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 0ms
memory: 3724kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 0ms
memory: 3892kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 0ms
memory: 3896kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 0ms
memory: 4016kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 898ms
memory: 48492kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 845ms
memory: 46064kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 861ms
memory: 45904kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 1721ms
memory: 83348kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 1687ms
memory: 83412kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 264ms
memory: 15888kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 1799ms
memory: 83652kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed